---
_id: '13996'
abstract:
- lang: eng
  text: We report the observation of an anomalous nonlinear optical response of the
    prototypical three-dimensional topological insulator bismuth selenide through
    the process of high-order harmonic generation. We find that the generation efficiency
    increases as the laser polarization is changed from linear to elliptical, and
    it becomes maximum for circular polarization. With the aid of a microscopic theory
    and a detailed analysis of the measured spectra, we reveal that such anomalous
    enhancement encodes the characteristic topology of the band structure that originates
    from the interplay of strong spin–orbit coupling and time-reversal symmetry protection.
    The implications are in ultrafast probing of topological phase transitions, light-field
    driven dissipationless electronics, and quantum computation.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Denitsa Rangelova
  full_name: Baykusheva, Denitsa Rangelova
  id: 71b4d059-2a03-11ee-914d-dfa3beed6530
  last_name: Baykusheva
- first_name: Alexis
  full_name: Chacón, Alexis
  last_name: Chacón
- first_name: Jian
  full_name: Lu, Jian
  last_name: Lu
- first_name: Trevor P.
  full_name: Bailey, Trevor P.
  last_name: Bailey
- first_name: Jonathan A.
  full_name: Sobota, Jonathan A.
  last_name: Sobota
- first_name: Hadas
  full_name: Soifer, Hadas
  last_name: Soifer
- first_name: Patrick S.
  full_name: Kirchmann, Patrick S.
  last_name: Kirchmann
- first_name: Costel
  full_name: Rotundu, Costel
  last_name: Rotundu
- first_name: Ctirad
  full_name: Uher, Ctirad
  last_name: Uher
- first_name: Tony F.
  full_name: Heinz, Tony F.
  last_name: Heinz
- first_name: David A.
  full_name: Reis, David A.
  last_name: Reis
- first_name: Shambhu
  full_name: Ghimire, Shambhu
  last_name: Ghimire
citation:
  ama: Baykusheva DR, Chacón A, Lu J, et al. All-optical probe of three-dimensional
    topological insulators based on high-harmonic generation by circularly polarized
    laser fields. <i>Nano Letters</i>. 2021;21(21):8970-8978. doi:<a href="https://doi.org/10.1021/acs.nanolett.1c02145">10.1021/acs.nanolett.1c02145</a>
  apa: Baykusheva, D. R., Chacón, A., Lu, J., Bailey, T. P., Sobota, J. A., Soifer,
    H., … Ghimire, S. (2021). All-optical probe of three-dimensional topological insulators
    based on high-harmonic generation by circularly polarized laser fields. <i>Nano
    Letters</i>. American Chemical Society. <a href="https://doi.org/10.1021/acs.nanolett.1c02145">https://doi.org/10.1021/acs.nanolett.1c02145</a>
  chicago: Baykusheva, Denitsa Rangelova, Alexis Chacón, Jian Lu, Trevor P. Bailey,
    Jonathan A. Sobota, Hadas Soifer, Patrick S. Kirchmann, et al. “All-Optical Probe
    of Three-Dimensional Topological Insulators Based on High-Harmonic Generation
    by Circularly Polarized Laser Fields.” <i>Nano Letters</i>. American Chemical
    Society, 2021. <a href="https://doi.org/10.1021/acs.nanolett.1c02145">https://doi.org/10.1021/acs.nanolett.1c02145</a>.
  ieee: D. R. Baykusheva <i>et al.</i>, “All-optical probe of three-dimensional topological
    insulators based on high-harmonic generation by circularly polarized laser fields,”
    <i>Nano Letters</i>, vol. 21, no. 21. American Chemical Society, pp. 8970–8978,
    2021.
  ista: Baykusheva DR, Chacón A, Lu J, Bailey TP, Sobota JA, Soifer H, Kirchmann PS,
    Rotundu C, Uher C, Heinz TF, Reis DA, Ghimire S. 2021. All-optical probe of three-dimensional
    topological insulators based on high-harmonic generation by circularly polarized
    laser fields. Nano Letters. 21(21), 8970–8978.
  mla: Baykusheva, Denitsa Rangelova, et al. “All-Optical Probe of Three-Dimensional
    Topological Insulators Based on High-Harmonic Generation by Circularly Polarized
    Laser Fields.” <i>Nano Letters</i>, vol. 21, no. 21, American Chemical Society,
    2021, pp. 8970–78, doi:<a href="https://doi.org/10.1021/acs.nanolett.1c02145">10.1021/acs.nanolett.1c02145</a>.
  short: D.R. Baykusheva, A. Chacón, J. Lu, T.P. Bailey, J.A. Sobota, H. Soifer, P.S.
    Kirchmann, C. Rotundu, C. Uher, T.F. Heinz, D.A. Reis, S. Ghimire, Nano Letters
    21 (2021) 8970–8978.
date_created: 2023-08-09T13:09:15Z
date_published: 2021-10-22T00:00:00Z
date_updated: 2023-08-22T07:32:00Z
day: '22'
doi: 10.1021/acs.nanolett.1c02145
extern: '1'
external_id:
  arxiv:
  - '2109.15291'
  pmid:
  - '34676752'
intvolume: '        21'
issue: '21'
keyword:
- Mechanical Engineering
- Condensed Matter Physics
- General Materials Science
- General Chemistry
- Bioengineering
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1021/acs.nanolett.1c02145
month: '10'
oa: 1
oa_version: Published Version
page: 8970-8978
pmid: 1
publication: Nano Letters
publication_identifier:
  eissn:
  - 1530-6992
  issn:
  - 1530-6984
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: All-optical probe of three-dimensional topological insulators based on high-harmonic
  generation by circularly polarized laser fields
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2021'
...
---
_id: '13997'
abstract:
- lang: eng
  text: We investigate theoretically the strong-field regime of light-matter interactions
    in the topological-insulator class of quantum materials. In particular, we focus
    on the process of nonperturbative high-order harmonic generation from the paradigmatic
    three-dimensional topological insulator bismuth selenide (Bi2Se3) subjected to
    intense midinfrared laser fields. We analyze the contributions from the spin-orbit-coupled
    bulk states and the topological surface bands separately and reveal a major difference
    in how their harmonic yields depend on the ellipticity of the laser field. Bulk
    harmonics show a monotonic decrease in their yield as the ellipticity increases,
    in a manner reminiscent of high harmonic generation in gaseous media. However,
    the surface contribution exhibits a highly nontrivial dependence, culminating
    with a maximum for circularly polarized fields. We attribute the observed anomalous
    behavior to (i) the enhanced amplitude and the circular pattern of the interband
    dipole and the Berry connections in the vicinity of the Dirac point and (ii) the
    influence of the higher-order, hexagonal warping terms in the Hamiltonian, which
    are responsible for the hexagonal deformation of the energy surface at higher
    momenta. The latter are associated directly with spin-orbit-coupling parameters.
    Our results thus establish the sensitivity of strong-field-driven high harmonic
    emission to the topology of the band structure as well as to the manifestations
    of spin-orbit interaction.
article_number: '023101'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Denitsa Rangelova
  full_name: Baykusheva, Denitsa Rangelova
  id: 71b4d059-2a03-11ee-914d-dfa3beed6530
  last_name: Baykusheva
- first_name: Alexis
  full_name: Chacón, Alexis
  last_name: Chacón
- first_name: Dasol
  full_name: Kim, Dasol
  last_name: Kim
- first_name: Dong Eon
  full_name: Kim, Dong Eon
  last_name: Kim
- first_name: David A.
  full_name: Reis, David A.
  last_name: Reis
- first_name: Shambhu
  full_name: Ghimire, Shambhu
  last_name: Ghimire
citation:
  ama: Baykusheva DR, Chacón A, Kim D, Kim DE, Reis DA, Ghimire S. Strong-field physics
    in three-dimensional topological insulators. <i>Physical Review A</i>. 2021;103(2).
    doi:<a href="https://doi.org/10.1103/physreva.103.023101">10.1103/physreva.103.023101</a>
  apa: Baykusheva, D. R., Chacón, A., Kim, D., Kim, D. E., Reis, D. A., &#38; Ghimire,
    S. (2021). Strong-field physics in three-dimensional topological insulators. <i>Physical
    Review A</i>. American Physical Society. <a href="https://doi.org/10.1103/physreva.103.023101">https://doi.org/10.1103/physreva.103.023101</a>
  chicago: Baykusheva, Denitsa Rangelova, Alexis Chacón, Dasol Kim, Dong Eon Kim,
    David A. Reis, and Shambhu Ghimire. “Strong-Field Physics in Three-Dimensional
    Topological Insulators.” <i>Physical Review A</i>. American Physical Society,
    2021. <a href="https://doi.org/10.1103/physreva.103.023101">https://doi.org/10.1103/physreva.103.023101</a>.
  ieee: D. R. Baykusheva, A. Chacón, D. Kim, D. E. Kim, D. A. Reis, and S. Ghimire,
    “Strong-field physics in three-dimensional topological insulators,” <i>Physical
    Review A</i>, vol. 103, no. 2. American Physical Society, 2021.
  ista: Baykusheva DR, Chacón A, Kim D, Kim DE, Reis DA, Ghimire S. 2021. Strong-field
    physics in three-dimensional topological insulators. Physical Review A. 103(2),
    023101.
  mla: Baykusheva, Denitsa Rangelova, et al. “Strong-Field Physics in Three-Dimensional
    Topological Insulators.” <i>Physical Review A</i>, vol. 103, no. 2, 023101, American
    Physical Society, 2021, doi:<a href="https://doi.org/10.1103/physreva.103.023101">10.1103/physreva.103.023101</a>.
  short: D.R. Baykusheva, A. Chacón, D. Kim, D.E. Kim, D.A. Reis, S. Ghimire, Physical
    Review A 103 (2021).
date_created: 2023-08-09T13:09:26Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2023-08-22T07:33:43Z
day: '01'
doi: 10.1103/physreva.103.023101
extern: '1'
external_id:
  arxiv:
  - '2008.01265'
intvolume: '       103'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2008.01265
month: '02'
oa: 1
oa_version: Preprint
publication: Physical Review A
publication_identifier:
  eissn:
  - 2469-9934
  issn:
  - 2469-9926
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Strong-field physics in three-dimensional topological insulators
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 103
year: '2021'
...
---
_id: '14097'
abstract:
- lang: eng
  text: UVEX is a proposed medium class Explorer mission designed to provide crucial
    missing capabilities that will address objectives central to a broad range of
    modern astrophysics. The UVEX design has two co-aligned wide-field imagers operating
    in the FUV and NUV and a powerful broadband medium resolution spectrometer. In
    its two-year baseline mission, UVEX will perform a multi-cadence synoptic all-sky
    survey 50/100 times deeper than GALEX in the NUV/FUV, cadenced surveys of the
    Large and Small Magellanic Clouds, rapid target of opportunity followup, as well
    as spectroscopic followup of samples of stars and galaxies. The science program
    is built around three pillars. First, UVEX will explore the low-mass, low-metallicity
    galaxy frontier through imaging and spectroscopic surveys that will probe key
    aspects of the evolution of galaxies by understanding how star formation and stellar
    evolution at low metallicities affect the growth and evolution of low-metallicity,
    low-mass galaxies in the local universe. Such galaxies contain half the mass in
    the local universe, and are analogs for the first galaxies, but observed at distances
    that make them accessible to detailed study. Second, UVEX will explore the dynamic
    universe through time-domain surveys and prompt spectroscopic followup capability
    will probe the environments, energetics, and emission processes in the early aftermaths
    of gravitational wave-discovered compact object mergers, discover hot, fast UV
    transients, and diagnose the early stages of stellar explosions. Finally, UVEX
    will become a key community resource by leaving a large all-sky legacy data set,
    enabling a wide range of scientific studies and filling a gap in the new generation
    of wide-field, sensitive optical and infrared surveys provided by the Rubin, Euclid,
    and Roman observatories. This paper discusses the scientific potential of UVEX,
    and the broad scientific program.
article_number: '2111.15608'
article_processing_charge: No
arxiv: 1
author:
- first_name: S. R.
  full_name: Kulkarni, S. R.
  last_name: Kulkarni
- first_name: Fiona A.
  full_name: Harrison, Fiona A.
  last_name: Harrison
- first_name: Brian W.
  full_name: Grefenstette, Brian W.
  last_name: Grefenstette
- first_name: Hannah P.
  full_name: Earnshaw, Hannah P.
  last_name: Earnshaw
- first_name: Igor
  full_name: Andreoni, Igor
  last_name: Andreoni
- first_name: Danielle A.
  full_name: Berg, Danielle A.
  last_name: Berg
- first_name: Joshua S.
  full_name: Bloom, Joshua S.
  last_name: Bloom
- first_name: S. Bradley
  full_name: Cenko, S. Bradley
  last_name: Cenko
- first_name: Ryan
  full_name: Chornock, Ryan
  last_name: Chornock
- first_name: Jessie L.
  full_name: Christiansen, Jessie L.
  last_name: Christiansen
- first_name: Michael W.
  full_name: Coughlin, Michael W.
  last_name: Coughlin
- first_name: Alexander Wuollet
  full_name: Criswell, Alexander Wuollet
  last_name: Criswell
- first_name: Behnam
  full_name: Darvish, Behnam
  last_name: Darvish
- first_name: Kaustav K.
  full_name: Das, Kaustav K.
  last_name: Das
- first_name: Kishalay
  full_name: De, Kishalay
  last_name: De
- first_name: Luc
  full_name: Dessart, Luc
  last_name: Dessart
- first_name: Don
  full_name: Dixon, Don
  last_name: Dixon
- first_name: Bas
  full_name: Dorsman, Bas
  last_name: Dorsman
- first_name: Kareem El-Badry
  full_name: Kareem El-Badry, Kareem El-Badry
  last_name: Kareem El-Badry
- first_name: Christopher
  full_name: Evans, Christopher
  last_name: Evans
- first_name: K. E. Saavik
  full_name: Ford, K. E. Saavik
  last_name: Ford
- first_name: Christoffer
  full_name: Fremling, Christoffer
  last_name: Fremling
- first_name: Boris T.
  full_name: Gansicke, Boris T.
  last_name: Gansicke
- first_name: Suvi
  full_name: Gezari, Suvi
  last_name: Gezari
- first_name: Ylva Louise Linsdotter
  full_name: Götberg, Ylva Louise Linsdotter
  id: d0648d0c-0f64-11ee-a2e0-dd0faa2e4f7d
  last_name: Götberg
  orcid: 0000-0002-6960-6911
- first_name: Gregory M.
  full_name: Green, Gregory M.
  last_name: Green
- first_name: Matthew J.
  full_name: Graham, Matthew J.
  last_name: Graham
- first_name: Marianne
  full_name: Heida, Marianne
  last_name: Heida
- first_name: Anna Y. Q.
  full_name: Ho, Anna Y. Q.
  last_name: Ho
- first_name: Amruta D.
  full_name: Jaodand, Amruta D.
  last_name: Jaodand
- first_name: Christopher M. Johns-Krull
  full_name: Christopher M. Johns-Krull, Christopher M. Johns-Krull
  last_name: Christopher M. Johns-Krull
- first_name: Mansi M.
  full_name: Kasliwal, Mansi M.
  last_name: Kasliwal
- first_name: Margaret
  full_name: Lazzarini, Margaret
  last_name: Lazzarini
- first_name: Wenbin
  full_name: Lu, Wenbin
  last_name: Lu
- first_name: Raffaella
  full_name: Margutti, Raffaella
  last_name: Margutti
- first_name: D. Christopher
  full_name: Martin, D. Christopher
  last_name: Martin
- first_name: Daniel Charles
  full_name: Masters, Daniel Charles
  last_name: Masters
- first_name: Barry
  full_name: McKernan, Barry
  last_name: McKernan
- first_name: Yael
  full_name: Naze, Yael
  last_name: Naze
- first_name: Samaya M.
  full_name: Nissanke, Samaya M.
  last_name: Nissanke
- first_name: B.
  full_name: Parazin, B.
  last_name: Parazin
- first_name: Daniel A.
  full_name: Perley, Daniel A.
  last_name: Perley
- first_name: E. Sterl
  full_name: Phinney, E. Sterl
  last_name: Phinney
- first_name: Anthony L.
  full_name: Piro, Anthony L.
  last_name: Piro
- first_name: G.
  full_name: Raaijmakers, G.
  last_name: Raaijmakers
- first_name: Gregor
  full_name: Rauw, Gregor
  last_name: Rauw
- first_name: Antonio C.
  full_name: Rodriguez, Antonio C.
  last_name: Rodriguez
- first_name: Hugues
  full_name: Sana, Hugues
  last_name: Sana
- first_name: Peter
  full_name: Senchyna, Peter
  last_name: Senchyna
- first_name: Leo P.
  full_name: Singer, Leo P.
  last_name: Singer
- first_name: Jessica J.
  full_name: Spake, Jessica J.
  last_name: Spake
- first_name: Keivan G.
  full_name: Stassun, Keivan G.
  last_name: Stassun
- first_name: Daniel
  full_name: Stern, Daniel
  last_name: Stern
- first_name: Harry I.
  full_name: Teplitz, Harry I.
  last_name: Teplitz
- first_name: Daniel R.
  full_name: Weisz, Daniel R.
  last_name: Weisz
- first_name: Yuhan
  full_name: Yao, Yuhan
  last_name: Yao
citation:
  ama: Kulkarni SR, Harrison FA, Grefenstette BW, et al. Science with the ultraviolet
    explorer (UVEX). <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2111.15608">10.48550/arXiv.2111.15608</a>
  apa: Kulkarni, S. R., Harrison, F. A., Grefenstette, B. W., Earnshaw, H. P., Andreoni,
    I., Berg, D. A., … Yao, Y. (n.d.). Science with the ultraviolet explorer (UVEX).
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2111.15608">https://doi.org/10.48550/arXiv.2111.15608</a>
  chicago: Kulkarni, S. R., Fiona A. Harrison, Brian W. Grefenstette, Hannah P. Earnshaw,
    Igor Andreoni, Danielle A. Berg, Joshua S. Bloom, et al. “Science with the Ultraviolet
    Explorer (UVEX).” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2111.15608">https://doi.org/10.48550/arXiv.2111.15608</a>.
  ieee: S. R. Kulkarni <i>et al.</i>, “Science with the ultraviolet explorer (UVEX),”
    <i>arXiv</i>. .
  ista: Kulkarni SR, Harrison FA, Grefenstette BW, Earnshaw HP, Andreoni I, Berg DA,
    Bloom JS, Cenko SB, Chornock R, Christiansen JL, Coughlin MW, Criswell AW, Darvish
    B, Das KK, De K, Dessart L, Dixon D, Dorsman B, Kareem El-Badry KE-B, Evans C,
    Ford KES, Fremling C, Gansicke BT, Gezari S, Götberg YLL, Green GM, Graham MJ,
    Heida M, Ho AYQ, Jaodand AD, Christopher M. Johns-Krull CMJ-K, Kasliwal MM, Lazzarini
    M, Lu W, Margutti R, Martin DC, Masters DC, McKernan B, Naze Y, Nissanke SM, Parazin
    B, Perley DA, Phinney ES, Piro AL, Raaijmakers G, Rauw G, Rodriguez AC, Sana H,
    Senchyna P, Singer LP, Spake JJ, Stassun KG, Stern D, Teplitz HI, Weisz DR, Yao
    Y. Science with the ultraviolet explorer (UVEX). arXiv, 2111.15608.
  mla: Kulkarni, S. R., et al. “Science with the Ultraviolet Explorer (UVEX).” <i>ArXiv</i>,
    2111.15608, doi:<a href="https://doi.org/10.48550/arXiv.2111.15608">10.48550/arXiv.2111.15608</a>.
  short: S.R. Kulkarni, F.A. Harrison, B.W. Grefenstette, H.P. Earnshaw, I. Andreoni,
    D.A. Berg, J.S. Bloom, S.B. Cenko, R. Chornock, J.L. Christiansen, M.W. Coughlin,
    A.W. Criswell, B. Darvish, K.K. Das, K. De, L. Dessart, D. Dixon, B. Dorsman,
    K.E.-B. Kareem El-Badry, C. Evans, K.E.S. Ford, C. Fremling, B.T. Gansicke, S.
    Gezari, Y.L.L. Götberg, G.M. Green, M.J. Graham, M. Heida, A.Y.Q. Ho, A.D. Jaodand,
    C.M.J.-K. Christopher M. Johns-Krull, M.M. Kasliwal, M. Lazzarini, W. Lu, R. Margutti,
    D.C. Martin, D.C. Masters, B. McKernan, Y. Naze, S.M. Nissanke, B. Parazin, D.A.
    Perley, E.S. Phinney, A.L. Piro, G. Raaijmakers, G. Rauw, A.C. Rodriguez, H. Sana,
    P. Senchyna, L.P. Singer, J.J. Spake, K.G. Stassun, D. Stern, H.I. Teplitz, D.R.
    Weisz, Y. Yao, ArXiv (n.d.).
date_created: 2023-08-21T10:11:00Z
date_published: 2021-11-30T00:00:00Z
date_updated: 2023-08-22T13:15:02Z
day: '30'
doi: 10.48550/arXiv.2111.15608
extern: '1'
external_id:
  arxiv:
  - '2111.15608'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2111.15608'
month: '11'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Science with the ultraviolet explorer (UVEX)
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '14117'
abstract:
- lang: eng
  text: 'The two fields of machine learning and graphical causality arose and are
    developed separately. However, there is, now, cross-pollination and increasing
    interest in both fields to benefit from the advances of the other. In this article,
    we review fundamental concepts of causal inference and relate them to crucial
    open problems of machine learning, including transfer and generalization, thereby
    assaying how causality can contribute to modern machine learning research. This
    also applies in the opposite direction: we note that most work in causality starts
    from the premise that the causal variables are given. A central problem for AI
    and causality is, thus, causal representation learning, that is, the discovery
    of high-level causal variables from low-level observations. Finally, we delineate
    some implications of causality for machine learning and propose key research areas
    at the intersection of both communities.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Bernhard
  full_name: Scholkopf, Bernhard
  last_name: Scholkopf
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Stefan
  full_name: Bauer, Stefan
  last_name: Bauer
- first_name: Nan Rosemary
  full_name: Ke, Nan Rosemary
  last_name: Ke
- first_name: Nal
  full_name: Kalchbrenner, Nal
  last_name: Kalchbrenner
- first_name: Anirudh
  full_name: Goyal, Anirudh
  last_name: Goyal
- first_name: Yoshua
  full_name: Bengio, Yoshua
  last_name: Bengio
citation:
  ama: Scholkopf B, Locatello F, Bauer S, et al. Toward causal representation learning.
    <i>Proceedings of the IEEE</i>. 2021;109(5):612-634. doi:<a href="https://doi.org/10.1109/jproc.2021.3058954">10.1109/jproc.2021.3058954</a>
  apa: Scholkopf, B., Locatello, F., Bauer, S., Ke, N. R., Kalchbrenner, N., Goyal,
    A., &#38; Bengio, Y. (2021). Toward causal representation learning. <i>Proceedings
    of the IEEE</i>. Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/jproc.2021.3058954">https://doi.org/10.1109/jproc.2021.3058954</a>
  chicago: Scholkopf, Bernhard, Francesco Locatello, Stefan Bauer, Nan Rosemary Ke,
    Nal Kalchbrenner, Anirudh Goyal, and Yoshua Bengio. “Toward Causal Representation
    Learning.” <i>Proceedings of the IEEE</i>. Institute of Electrical and Electronics
    Engineers, 2021. <a href="https://doi.org/10.1109/jproc.2021.3058954">https://doi.org/10.1109/jproc.2021.3058954</a>.
  ieee: B. Scholkopf <i>et al.</i>, “Toward causal representation learning,” <i>Proceedings
    of the IEEE</i>, vol. 109, no. 5. Institute of Electrical and Electronics Engineers,
    pp. 612–634, 2021.
  ista: Scholkopf B, Locatello F, Bauer S, Ke NR, Kalchbrenner N, Goyal A, Bengio
    Y. 2021. Toward causal representation learning. Proceedings of the IEEE. 109(5),
    612–634.
  mla: Scholkopf, Bernhard, et al. “Toward Causal Representation Learning.” <i>Proceedings
    of the IEEE</i>, vol. 109, no. 5, Institute of Electrical and Electronics Engineers,
    2021, pp. 612–34, doi:<a href="https://doi.org/10.1109/jproc.2021.3058954">10.1109/jproc.2021.3058954</a>.
  short: B. Scholkopf, F. Locatello, S. Bauer, N.R. Ke, N. Kalchbrenner, A. Goyal,
    Y. Bengio, Proceedings of the IEEE 109 (2021) 612–634.
date_created: 2023-08-21T12:19:30Z
date_published: 2021-05-01T00:00:00Z
date_updated: 2023-09-11T11:43:35Z
day: '01'
department:
- _id: FrLo
doi: 10.1109/jproc.2021.3058954
extern: '1'
external_id:
  arxiv:
  - '2102.11107'
intvolume: '       109'
issue: '5'
keyword:
- Electrical and Electronic Engineering
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1109/JPROC.2021.3058954
month: '05'
oa: 1
oa_version: Published Version
page: 612-634
publication: Proceedings of the IEEE
publication_identifier:
  eissn:
  - 1558-2256
  issn:
  - 0018-9219
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Toward causal representation learning
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 109
year: '2021'
...
---
_id: '14176'
abstract:
- lang: eng
  text: "Intensive care units (ICU) are increasingly looking towards machine learning
    for methods to provide online monitoring of critically ill patients. In machine
    learning, online monitoring is often formulated as a supervised learning problem.
    Recently, contrastive learning approaches have demonstrated promising improvements
    over competitive supervised benchmarks. These methods rely on well-understood
    data augmentation techniques developed for image data which do not apply to online
    monitoring. In this work, we overcome this limitation by\r\nsupplementing time-series
    data augmentation techniques with a novel contrastive\r\nlearning objective which
    we call neighborhood contrastive learning (NCL). Our objective explicitly groups
    together contiguous time segments from each patient while maintaining state-specific
    information. Our experiments demonstrate a marked improvement over existing work
    applying contrastive methods to medical time-series."
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Hugo
  full_name: Yèche, Hugo
  last_name: Yèche
- first_name: Gideon
  full_name: Dresdner, Gideon
  last_name: Dresdner
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Matthias
  full_name: Hüser, Matthias
  last_name: Hüser
- first_name: Gunnar
  full_name: Rätsch, Gunnar
  last_name: Rätsch
citation:
  ama: 'Yèche H, Dresdner G, Locatello F, Hüser M, Rätsch G. Neighborhood contrastive
    learning applied to online patient monitoring. In: <i>Proceedings of 38th International
    Conference on Machine Learning</i>. Vol 139. ML Research Press; 2021:11964-11974.'
  apa: 'Yèche, H., Dresdner, G., Locatello, F., Hüser, M., &#38; Rätsch, G. (2021).
    Neighborhood contrastive learning applied to online patient monitoring. In <i>Proceedings
    of 38th International Conference on Machine Learning</i> (Vol. 139, pp. 11964–11974).
    Virtual: ML Research Press.'
  chicago: Yèche, Hugo, Gideon Dresdner, Francesco Locatello, Matthias Hüser, and
    Gunnar Rätsch. “Neighborhood Contrastive Learning Applied to Online Patient Monitoring.”
    In <i>Proceedings of 38th International Conference on Machine Learning</i>, 139:11964–74.
    ML Research Press, 2021.
  ieee: H. Yèche, G. Dresdner, F. Locatello, M. Hüser, and G. Rätsch, “Neighborhood
    contrastive learning applied to online patient monitoring,” in <i>Proceedings
    of 38th International Conference on Machine Learning</i>, Virtual, 2021, vol.
    139, pp. 11964–11974.
  ista: Yèche H, Dresdner G, Locatello F, Hüser M, Rätsch G. 2021. Neighborhood contrastive
    learning applied to online patient monitoring. Proceedings of 38th International
    Conference on Machine Learning. International Conference on Machine Learning,
    PMLR, vol. 139, 11964–11974.
  mla: Yèche, Hugo, et al. “Neighborhood Contrastive Learning Applied to Online Patient
    Monitoring.” <i>Proceedings of 38th International Conference on Machine Learning</i>,
    vol. 139, ML Research Press, 2021, pp. 11964–74.
  short: H. Yèche, G. Dresdner, F. Locatello, M. Hüser, G. Rätsch, in:, Proceedings
    of 38th International Conference on Machine Learning, ML Research Press, 2021,
    pp. 11964–11974.
conference:
  end_date: 2021-07-24
  location: Virtual
  name: International Conference on Machine Learning
  start_date: 2021-07-18
date_created: 2023-08-22T14:03:04Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2023-09-11T10:16:55Z
day: '01'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2106.05142'
intvolume: '       139'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2106.05142
month: '08'
oa: 1
oa_version: Preprint
page: 11964-11974
publication: Proceedings of 38th International Conference on Machine Learning
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Neighborhood contrastive learning applied to online patient monitoring
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 139
year: '2021'
...
---
_id: '14177'
abstract:
- lang: eng
  text: "The focus of disentanglement approaches has been on identifying independent
    factors of variation in data. However, the causal variables underlying real-world
    observations are often not statistically independent. In this work, we bridge
    the gap to real-world scenarios by analyzing the behavior of the most prominent
    disentanglement approaches on correlated data in a large-scale empirical study
    (including 4260 models). We show and quantify that systematically induced correlations
    in the dataset are being learned and reflected in the latent representations,
    which has implications for downstream applications of disentanglement such as
    fairness. We also demonstrate how to resolve these latent correlations, either
    using weak supervision during\r\ntraining or by post-hoc correcting a pre-trained
    model with a small number of labels."
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Frederik
  full_name: Träuble, Frederik
  last_name: Träuble
- first_name: Elliot
  full_name: Creager, Elliot
  last_name: Creager
- first_name: Niki
  full_name: Kilbertus, Niki
  last_name: Kilbertus
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Andrea
  full_name: Dittadi, Andrea
  last_name: Dittadi
- first_name: Anirudh
  full_name: Goyal, Anirudh
  last_name: Goyal
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Stefan
  full_name: Bauer, Stefan
  last_name: Bauer
citation:
  ama: 'Träuble F, Creager E, Kilbertus N, et al. On disentangled representations
    learned from correlated data. In: <i>Proceedings of the 38th International Conference
    on Machine Learning</i>. Vol 139. ML Research Press; 2021:10401-10412.'
  apa: 'Träuble, F., Creager, E., Kilbertus, N., Locatello, F., Dittadi, A., Goyal,
    A., … Bauer, S. (2021). On disentangled representations learned from correlated
    data. In <i>Proceedings of the 38th International Conference on Machine Learning</i>
    (Vol. 139, pp. 10401–10412). Virtual: ML Research Press.'
  chicago: Träuble, Frederik, Elliot Creager, Niki Kilbertus, Francesco Locatello,
    Andrea Dittadi, Anirudh Goyal, Bernhard Schölkopf, and Stefan Bauer. “On Disentangled
    Representations Learned from Correlated Data.” In <i>Proceedings of the 38th International
    Conference on Machine Learning</i>, 139:10401–12. ML Research Press, 2021.
  ieee: F. Träuble <i>et al.</i>, “On disentangled representations learned from correlated
    data,” in <i>Proceedings of the 38th International Conference on Machine Learning</i>,
    Virtual, 2021, vol. 139, pp. 10401–10412.
  ista: 'Träuble F, Creager E, Kilbertus N, Locatello F, Dittadi A, Goyal A, Schölkopf
    B, Bauer S. 2021. On disentangled representations learned from correlated data.
    Proceedings of the 38th International Conference on Machine Learning. ICML: International
    Conference on Machine Learning, PMLR, vol. 139, 10401–10412.'
  mla: Träuble, Frederik, et al. “On Disentangled Representations Learned from Correlated
    Data.” <i>Proceedings of the 38th International Conference on Machine Learning</i>,
    vol. 139, ML Research Press, 2021, pp. 10401–12.
  short: F. Träuble, E. Creager, N. Kilbertus, F. Locatello, A. Dittadi, A. Goyal,
    B. Schölkopf, S. Bauer, in:, Proceedings of the 38th International Conference
    on Machine Learning, ML Research Press, 2021, pp. 10401–10412.
conference:
  end_date: 2021-07-24
  location: Virtual
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2021-07-18
date_created: 2023-08-22T14:03:47Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2023-09-11T10:18:48Z
day: '01'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2006.07886'
intvolume: '       139'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2006.07886
month: '08'
oa: 1
oa_version: Published Version
page: 10401-10412
publication: Proceedings of the 38th International Conference on Machine Learning
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: On disentangled representations learned from correlated data
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 139
year: '2021'
...
---
_id: '14178'
abstract:
- lang: eng
  text: Learning meaningful representations that disentangle the underlying structure
    of the data generating process is considered to be of key importance in machine
    learning. While disentangled representations were found to be useful for diverse
    tasks such as abstract reasoning and fair classification, their scalability and
    real-world impact remain questionable. We introduce a new high-resolution dataset
    with 1M simulated images and over 1,800 annotated real-world images of the same
    setup. In contrast to previous work, this new dataset exhibits correlations, a
    complex underlying structure, and allows to evaluate transfer to unseen simulated
    and real-world settings where the encoder i) remains in distribution or ii) is
    out of distribution. We propose new architectures in order to scale disentangled
    representation learning to realistic high-resolution settings and conduct a large-scale
    empirical study of disentangled representations on this dataset. We observe that
    disentanglement is a good predictor for out-of-distribution (OOD) task performance.
article_processing_charge: No
arxiv: 1
author:
- first_name: Andrea
  full_name: Dittadi, Andrea
  last_name: Dittadi
- first_name: Frederik
  full_name: Träuble, Frederik
  last_name: Träuble
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Manuel
  full_name: Wüthrich, Manuel
  last_name: Wüthrich
- first_name: Vaibhav
  full_name: Agrawal, Vaibhav
  last_name: Agrawal
- first_name: Ole
  full_name: Winther, Ole
  last_name: Winther
- first_name: Stefan
  full_name: Bauer, Stefan
  last_name: Bauer
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
citation:
  ama: 'Dittadi A, Träuble F, Locatello F, et al. On the transfer of disentangled
    representations in realistic settings. In: <i>The Ninth International Conference
    on Learning Representations</i>. ; 2021.'
  apa: Dittadi, A., Träuble, F., Locatello, F., Wüthrich, M., Agrawal, V., Winther,
    O., … Schölkopf, B. (2021). On the transfer of disentangled representations in
    realistic settings. In <i>The Ninth International Conference on Learning Representations</i>.
    Virtual.
  chicago: Dittadi, Andrea, Frederik Träuble, Francesco Locatello, Manuel Wüthrich,
    Vaibhav Agrawal, Ole Winther, Stefan Bauer, and Bernhard Schölkopf. “On the Transfer
    of Disentangled Representations in Realistic Settings.” In <i>The Ninth International
    Conference on Learning Representations</i>, 2021.
  ieee: A. Dittadi <i>et al.</i>, “On the transfer of disentangled representations
    in realistic settings,” in <i>The Ninth International Conference on Learning Representations</i>,
    Virtual, 2021.
  ista: 'Dittadi A, Träuble F, Locatello F, Wüthrich M, Agrawal V, Winther O, Bauer
    S, Schölkopf B. 2021. On the transfer of disentangled representations in realistic
    settings. The Ninth International Conference on Learning Representations. ICLR:
    International Conference on Learning Representations.'
  mla: Dittadi, Andrea, et al. “On the Transfer of Disentangled Representations in
    Realistic Settings.” <i>The Ninth International Conference on Learning Representations</i>,
    2021.
  short: A. Dittadi, F. Träuble, F. Locatello, M. Wüthrich, V. Agrawal, O. Winther,
    S. Bauer, B. Schölkopf, in:, The Ninth International Conference on Learning Representations,
    2021.
conference:
  end_date: 2021-05-07
  location: Virtual
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2021-05-03
date_created: 2023-08-22T14:04:16Z
date_published: 2021-05-04T00:00:00Z
date_updated: 2023-09-11T10:55:30Z
day: '04'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2010.14407'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2010.14407
month: '05'
oa: 1
oa_version: Preprint
publication: The Ninth International Conference on Learning Representations
publication_status: published
quality_controlled: '1'
status: public
title: On the transfer of disentangled representations in realistic settings
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '14179'
abstract:
- lang: eng
  text: Self-supervised representation learning has shown remarkable success in a
    number of domains. A common practice is to perform data augmentation via hand-crafted
    transformations intended to leave the semantics of the data invariant. We seek
    to understand the empirical success of this approach from a theoretical perspective.
    We formulate the augmentation process as a latent variable model by postulating
    a partition of the latent representation into a content component, which is assumed
    invariant to augmentation, and a style component, which is allowed to change.
    Unlike prior work on disentanglement and independent component analysis, we allow
    for both nontrivial statistical and causal dependencies in the latent space. We
    study the identifiability of the latent representation based on pairs of views
    of the observations and prove sufficient conditions that allow us to identify
    the invariant content partition up to an invertible mapping in both generative
    and discriminative settings. We find numerical simulations with dependent latent
    variables are consistent with our theory. Lastly, we introduce Causal3DIdent,
    a dataset of high-dimensional, visually complex images with rich causal dependencies,
    which we use to study the effect of data augmentations performed in practice.
article_processing_charge: No
arxiv: 1
author:
- first_name: Julius von
  full_name: Kügelgen, Julius von
  last_name: Kügelgen
- first_name: Yash
  full_name: Sharma, Yash
  last_name: Sharma
- first_name: Luigi
  full_name: Gresele, Luigi
  last_name: Gresele
- first_name: Wieland
  full_name: Brendel, Wieland
  last_name: Brendel
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Michel
  full_name: Besserve, Michel
  last_name: Besserve
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Kügelgen J von, Sharma Y, Gresele L, et al. Self-supervised learning with
    data augmentations provably isolates content from style. In: <i>Advances in Neural
    Information Processing Systems</i>. Vol 34. ; 2021:16451-16467.'
  apa: Kügelgen, J. von, Sharma, Y., Gresele, L., Brendel, W., Schölkopf, B., Besserve,
    M., &#38; Locatello, F. (2021). Self-supervised learning with data augmentations
    provably isolates content from style. In <i>Advances in Neural Information Processing
    Systems</i> (Vol. 34, pp. 16451–16467). Virtual.
  chicago: Kügelgen, Julius von, Yash Sharma, Luigi Gresele, Wieland Brendel, Bernhard
    Schölkopf, Michel Besserve, and Francesco Locatello. “Self-Supervised Learning
    with Data Augmentations Provably Isolates Content from Style.” In <i>Advances
    in Neural Information Processing Systems</i>, 34:16451–67, 2021.
  ieee: J. von Kügelgen <i>et al.</i>, “Self-supervised learning with data augmentations
    provably isolates content from style,” in <i>Advances in Neural Information Processing
    Systems</i>, Virtual, 2021, vol. 34, pp. 16451–16467.
  ista: 'Kügelgen J von, Sharma Y, Gresele L, Brendel W, Schölkopf B, Besserve M,
    Locatello F. 2021. Self-supervised learning with data augmentations provably isolates
    content from style. Advances in Neural Information Processing Systems. NeurIPS:
    Neural Information Processing Systems vol. 34, 16451–16467.'
  mla: Kügelgen, Julius von, et al. “Self-Supervised Learning with Data Augmentations
    Provably Isolates Content from Style.” <i>Advances in Neural Information Processing
    Systems</i>, vol. 34, 2021, pp. 16451–67.
  short: J. von Kügelgen, Y. Sharma, L. Gresele, W. Brendel, B. Schölkopf, M. Besserve,
    F. Locatello, in:, Advances in Neural Information Processing Systems, 2021, pp.
    16451–16467.
conference:
  end_date: 2021-12-10
  location: Virtual
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2021-12-07
date_created: 2023-08-22T14:04:36Z
date_published: 2021-06-08T00:00:00Z
date_updated: 2023-09-11T10:33:19Z
day: '08'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2106.04619'
intvolume: '        34'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2106.04619
month: '06'
oa: 1
oa_version: Preprint
page: 16451-16467
publication: Advances in Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9781713845393'
publication_status: published
quality_controlled: '1'
status: public
title: Self-supervised learning with data augmentations provably isolates content
  from style
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2021'
...
---
_id: '14180'
abstract:
- lang: eng
  text: 'Modern neural network architectures can leverage large amounts of data to
    generalize well within the training distribution. However, they are less capable
    of systematic generalization to data drawn from unseen but related distributions,
    a feat that is hypothesized to require compositional reasoning and reuse of knowledge.
    In this work, we present Neural Interpreters, an architecture that factorizes
    inference in a self-attention network as a system of modules, which we call \emph{functions}.
    Inputs to the model are routed through a sequence of functions in a way that is
    end-to-end learned. The proposed architecture can flexibly compose computation
    along width and depth, and lends itself well to capacity extension after training.
    To demonstrate the versatility of Neural Interpreters, we evaluate it in two distinct
    settings: image classification and visual abstract reasoning on Raven Progressive
    Matrices. In the former, we show that Neural Interpreters perform on par with
    the vision transformer using fewer parameters, while being transferrable to a
    new task in a sample efficient manner. In the latter, we find that Neural Interpreters
    are competitive with respect to the state-of-the-art in terms of systematic generalization. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Nasim
  full_name: Rahaman, Nasim
  last_name: Rahaman
- first_name: Muhammad Waleed
  full_name: Gondal, Muhammad Waleed
  last_name: Gondal
- first_name: Shruti
  full_name: Joshi, Shruti
  last_name: Joshi
- first_name: Peter
  full_name: Gehler, Peter
  last_name: Gehler
- first_name: Yoshua
  full_name: Bengio, Yoshua
  last_name: Bengio
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
citation:
  ama: 'Rahaman N, Gondal MW, Joshi S, et al. Dynamic inference with neural interpreters.
    In: <i>Advances in Neural Information Processing Systems</i>. Vol 34. ; 2021:10985-10998.'
  apa: Rahaman, N., Gondal, M. W., Joshi, S., Gehler, P., Bengio, Y., Locatello, F.,
    &#38; Schölkopf, B. (2021). Dynamic inference with neural interpreters. In <i>Advances
    in Neural Information Processing Systems</i> (Vol. 34, pp. 10985–10998). Virtual.
  chicago: Rahaman, Nasim, Muhammad Waleed Gondal, Shruti Joshi, Peter Gehler, Yoshua
    Bengio, Francesco Locatello, and Bernhard Schölkopf. “Dynamic Inference with Neural
    Interpreters.” In <i>Advances in Neural Information Processing Systems</i>, 34:10985–98,
    2021.
  ieee: N. Rahaman <i>et al.</i>, “Dynamic inference with neural interpreters,” in
    <i>Advances in Neural Information Processing Systems</i>, Virtual, 2021, vol.
    34, pp. 10985–10998.
  ista: 'Rahaman N, Gondal MW, Joshi S, Gehler P, Bengio Y, Locatello F, Schölkopf
    B. 2021. Dynamic inference with neural interpreters. Advances in Neural Information
    Processing Systems. NeurIPS: Neural Information Processing Systems vol. 34, 10985–10998.'
  mla: Rahaman, Nasim, et al. “Dynamic Inference with Neural Interpreters.” <i>Advances
    in Neural Information Processing Systems</i>, vol. 34, 2021, pp. 10985–98.
  short: N. Rahaman, M.W. Gondal, S. Joshi, P. Gehler, Y. Bengio, F. Locatello, B.
    Schölkopf, in:, Advances in Neural Information Processing Systems, 2021, pp. 10985–10998.
conference:
  end_date: 2021-12-10
  location: Virtual
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2021-12-07
date_created: 2023-08-22T14:04:55Z
date_published: 2021-10-12T00:00:00Z
date_updated: 2023-09-11T11:33:46Z
day: '12'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2110.06399'
intvolume: '        34'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2110.06399
month: '10'
oa: 1
oa_version: Preprint
page: 10985-10998
publication: Advances in Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9781713845393'
publication_status: published
quality_controlled: '1'
status: public
title: Dynamic inference with neural interpreters
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2021'
...
---
_id: '14181'
abstract:
- lang: eng
  text: Variational Inference makes a trade-off between the capacity of the variational
    family and the tractability of finding an approximate posterior distribution.
    Instead, Boosting Variational Inference allows practitioners to obtain increasingly
    good posterior approximations by spending more compute. The main obstacle to widespread
    adoption of Boosting Variational Inference is the amount of resources necessary
    to improve over a strong Variational Inference baseline. In our work, we trace
    this limitation back to the global curvature of the KL-divergence. We characterize
    how the global curvature impacts time and memory consumption, address the problem
    with the notion of local curvature, and provide a novel approximate backtracking
    algorithm for estimating local curvature. We give new theoretical convergence
    rates for our algorithms and provide experimental validation on synthetic and
    real-world datasets.
article_processing_charge: No
arxiv: 1
author:
- first_name: Gideon
  full_name: Dresdner, Gideon
  last_name: Dresdner
- first_name: Saurav
  full_name: Shekhar, Saurav
  last_name: Shekhar
- first_name: Fabian
  full_name: Pedregosa, Fabian
  last_name: Pedregosa
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Gunnar
  full_name: Rätsch, Gunnar
  last_name: Rätsch
citation:
  ama: 'Dresdner G, Shekhar S, Pedregosa F, Locatello F, Rätsch G. Boosting variational
    inference with locally adaptive step-sizes. In: <i>Proceedings of the Thirtieth
    International Joint Conference on Artificial Intelligence</i>. International Joint
    Conferences on Artificial Intelligence; 2021:2337-2343. doi:<a href="https://doi.org/10.24963/ijcai.2021/322">10.24963/ijcai.2021/322</a>'
  apa: 'Dresdner, G., Shekhar, S., Pedregosa, F., Locatello, F., &#38; Rätsch, G.
    (2021). Boosting variational inference with locally adaptive step-sizes. In <i>Proceedings
    of the Thirtieth International Joint Conference on Artificial Intelligence</i>
    (pp. 2337–2343). Montreal, Canada: International Joint Conferences on Artificial
    Intelligence. <a href="https://doi.org/10.24963/ijcai.2021/322">https://doi.org/10.24963/ijcai.2021/322</a>'
  chicago: Dresdner, Gideon, Saurav Shekhar, Fabian Pedregosa, Francesco Locatello,
    and Gunnar Rätsch. “Boosting Variational Inference with Locally Adaptive Step-Sizes.”
    In <i>Proceedings of the Thirtieth International Joint Conference on Artificial
    Intelligence</i>, 2337–43. International Joint Conferences on Artificial Intelligence,
    2021. <a href="https://doi.org/10.24963/ijcai.2021/322">https://doi.org/10.24963/ijcai.2021/322</a>.
  ieee: G. Dresdner, S. Shekhar, F. Pedregosa, F. Locatello, and G. Rätsch, “Boosting
    variational inference with locally adaptive step-sizes,” in <i>Proceedings of
    the Thirtieth International Joint Conference on Artificial Intelligence</i>, Montreal,
    Canada, 2021, pp. 2337–2343.
  ista: 'Dresdner G, Shekhar S, Pedregosa F, Locatello F, Rätsch G. 2021. Boosting
    variational inference with locally adaptive step-sizes. Proceedings of the Thirtieth
    International Joint Conference on Artificial Intelligence. IJCAI: International
    Joint Conference on Artificial Intelligence, 2337–2343.'
  mla: Dresdner, Gideon, et al. “Boosting Variational Inference with Locally Adaptive
    Step-Sizes.” <i>Proceedings of the Thirtieth International Joint Conference on
    Artificial Intelligence</i>, International Joint Conferences on Artificial Intelligence,
    2021, pp. 2337–43, doi:<a href="https://doi.org/10.24963/ijcai.2021/322">10.24963/ijcai.2021/322</a>.
  short: G. Dresdner, S. Shekhar, F. Pedregosa, F. Locatello, G. Rätsch, in:, Proceedings
    of the Thirtieth International Joint Conference on Artificial Intelligence, International
    Joint Conferences on Artificial Intelligence, 2021, pp. 2337–2343.
conference:
  end_date: 2021-08-27
  location: Montreal, Canada
  name: 'IJCAI: International Joint Conference on Artificial Intelligence'
  start_date: 2021-08-19
date_created: 2023-08-22T14:05:14Z
date_published: 2021-05-19T00:00:00Z
date_updated: 2023-09-11T11:14:30Z
day: '19'
department:
- _id: FrLo
doi: 10.24963/ijcai.2021/322
extern: '1'
external_id:
  arxiv:
  - '2105.09240'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2105.09240
month: '05'
oa: 1
oa_version: Published Version
page: 2337-2343
publication: Proceedings of the Thirtieth International Joint Conference on Artificial
  Intelligence
publication_identifier:
  eisbn:
  - '9780999241196'
publication_status: published
publisher: International Joint Conferences on Artificial Intelligence
quality_controlled: '1'
status: public
title: Boosting variational inference with locally adaptive step-sizes
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '14182'
abstract:
- lang: eng
  text: "When machine learning systems meet real world applications, accuracy is only\r\none
    of several requirements. In this paper, we assay a complementary\r\nperspective
    originating from the increasing availability of pre-trained and\r\nregularly improving
    state-of-the-art models. While new improved models develop\r\nat a fast pace,
    downstream tasks vary more slowly or stay constant. Assume that\r\nwe have a large
    unlabelled data set for which we want to maintain accurate\r\npredictions. Whenever
    a new and presumably better ML models becomes available,\r\nwe encounter two problems:
    (i) given a limited budget, which data points should\r\nbe re-evaluated using
    the new model?; and (ii) if the new predictions differ\r\nfrom the current ones,
    should we update? Problem (i) is about compute cost,\r\nwhich matters for very
    large data sets and models. Problem (ii) is about\r\nmaintaining consistency of
    the predictions, which can be highly relevant for\r\ndownstream applications;
    our demand is to avoid negative flips, i.e., changing\r\ncorrect to incorrect
    predictions. In this paper, we formalize the Prediction\r\nUpdate Problem and
    present an efficient probabilistic approach as answer to the\r\nabove questions.
    In extensive experiments on standard classification benchmark\r\ndata sets, we
    show that our method outperforms alternative strategies along key\r\nmetrics for
    backward-compatible prediction updates."
article_processing_charge: No
arxiv: 1
author:
- first_name: Frederik
  full_name: Träuble, Frederik
  last_name: Träuble
- first_name: Julius von
  full_name: Kügelgen, Julius von
  last_name: Kügelgen
- first_name: Matthäus
  full_name: Kleindessner, Matthäus
  last_name: Kleindessner
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Peter
  full_name: Gehler, Peter
  last_name: Gehler
citation:
  ama: 'Träuble F, Kügelgen J von, Kleindessner M, Locatello F, Schölkopf B, Gehler
    P. Backward-compatible prediction updates: A probabilistic approach. In: <i>35th
    Conference on Neural Information Processing Systems</i>. Vol 34. ; 2021:116-128.'
  apa: 'Träuble, F., Kügelgen, J. von, Kleindessner, M., Locatello, F., Schölkopf,
    B., &#38; Gehler, P. (2021). Backward-compatible prediction updates: A probabilistic
    approach. In <i>35th Conference on Neural Information Processing Systems</i> (Vol.
    34, pp. 116–128). Virtual.'
  chicago: 'Träuble, Frederik, Julius von Kügelgen, Matthäus Kleindessner, Francesco
    Locatello, Bernhard Schölkopf, and Peter Gehler. “Backward-Compatible Prediction
    Updates: A Probabilistic Approach.” In <i>35th Conference on Neural Information
    Processing Systems</i>, 34:116–28, 2021.'
  ieee: 'F. Träuble, J. von Kügelgen, M. Kleindessner, F. Locatello, B. Schölkopf,
    and P. Gehler, “Backward-compatible prediction updates: A probabilistic approach,”
    in <i>35th Conference on Neural Information Processing Systems</i>, Virtual, 2021,
    vol. 34, pp. 116–128.'
  ista: 'Träuble F, Kügelgen J von, Kleindessner M, Locatello F, Schölkopf B, Gehler
    P. 2021. Backward-compatible prediction updates: A probabilistic approach. 35th
    Conference on Neural Information Processing Systems. NeurIPS: Neural Information
    Processing Systems vol. 34, 116–128.'
  mla: 'Träuble, Frederik, et al. “Backward-Compatible Prediction Updates: A Probabilistic
    Approach.” <i>35th Conference on Neural Information Processing Systems</i>, vol.
    34, 2021, pp. 116–28.'
  short: F. Träuble, J. von Kügelgen, M. Kleindessner, F. Locatello, B. Schölkopf,
    P. Gehler, in:, 35th Conference on Neural Information Processing Systems, 2021,
    pp. 116–128.
conference:
  end_date: 2021-12-10
  location: Virtual
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2021-12-07
date_created: 2023-08-22T14:05:41Z
date_published: 2021-07-02T00:00:00Z
date_updated: 2023-09-11T11:31:59Z
day: '02'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2107.01057'
intvolume: '        34'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2107.01057
month: '07'
oa: 1
oa_version: Preprint
page: 116-128
publication: 35th Conference on Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9781713845393'
publication_status: published
quality_controlled: '1'
status: public
title: 'Backward-compatible prediction updates: A probabilistic approach'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2021'
...
---
_id: '14221'
abstract:
- lang: eng
  text: 'The world is structured in countless ways. It may be prudent to enforce corresponding
    structural properties to a learning algorithm''s solution, such as incorporating
    prior beliefs, natural constraints, or causal structures. Doing so may translate
    to faster, more accurate, and more flexible models, which may directly relate
    to real-world impact. In this dissertation, we consider two different research
    areas that concern structuring a learning algorithm''s solution: when the structure
    is known and when it has to be discovered.'
article_number: '2111.13693'
article_processing_charge: No
arxiv: 1
author:
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: Locatello F. Enforcing and discovering structure in machine learning. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.2111.13693">10.48550/arXiv.2111.13693</a>
  apa: Locatello, F. (n.d.). Enforcing and discovering structure in machine learning.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2111.13693">https://doi.org/10.48550/arXiv.2111.13693</a>
  chicago: Locatello, Francesco. “Enforcing and Discovering Structure in Machine Learning.”
    <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2111.13693">https://doi.org/10.48550/arXiv.2111.13693</a>.
  ieee: F. Locatello, “Enforcing and discovering structure in machine learning,” <i>arXiv</i>.
    .
  ista: Locatello F. Enforcing and discovering structure in machine learning. arXiv,
    2111.13693.
  mla: Locatello, Francesco. “Enforcing and Discovering Structure in Machine Learning.”
    <i>ArXiv</i>, 2111.13693, doi:<a href="https://doi.org/10.48550/arXiv.2111.13693">10.48550/arXiv.2111.13693</a>.
  short: F. Locatello, ArXiv (n.d.).
date_created: 2023-08-22T14:23:35Z
date_published: 2021-11-26T00:00:00Z
date_updated: 2023-09-12T07:04:44Z
day: '26'
department:
- _id: FrLo
doi: 10.48550/arXiv.2111.13693
extern: '1'
external_id:
  arxiv:
  - '2111.13693'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2111.13693
month: '11'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Enforcing and discovering structure in machine learning
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '14278'
abstract:
- lang: eng
  text: 'The Birkhoff conjecture says that the boundary of a strictly convex integrable
    billiard table is necessarily an ellipse. In this article, we consider a stronger
    notion of integrability, namely, integrability close to the boundary, and prove
    a local version of this conjecture: a small perturbation of almost every ellipse
    that preserves integrability near the boundary, is itself an ellipse. We apply
    this result to study local spectral rigidity of ellipses using the connection
    between the wave trace of the Laplacian and the dynamics near the boundary and
    establish rigidity for almost all of them.'
article_number: '2111.12171'
article_processing_charge: No
arxiv: 1
author:
- first_name: Illya
  full_name: Koval, Illya
  id: 2eed1f3b-896a-11ed-bdf8-93c7c4bf159e
  last_name: Koval
citation:
  ama: Koval I. Local strong Birkhoff conjecture and local spectral rigidity of almost
    every ellipse. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/ARXIV.2111.12171">10.48550/ARXIV.2111.12171</a>
  apa: Koval, I. (n.d.). Local strong Birkhoff conjecture and local spectral rigidity
    of almost every ellipse. <i>arXiv</i>. <a href="https://doi.org/10.48550/ARXIV.2111.12171">https://doi.org/10.48550/ARXIV.2111.12171</a>
  chicago: Koval, Illya. “Local Strong Birkhoff Conjecture and Local Spectral Rigidity
    of Almost Every Ellipse.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/ARXIV.2111.12171">https://doi.org/10.48550/ARXIV.2111.12171</a>.
  ieee: I. Koval, “Local strong Birkhoff conjecture and local spectral rigidity of
    almost every ellipse,” <i>arXiv</i>. .
  ista: Koval I. Local strong Birkhoff conjecture and local spectral rigidity of almost
    every ellipse. arXiv, 2111.12171.
  mla: Koval, Illya. “Local Strong Birkhoff Conjecture and Local Spectral Rigidity
    of Almost Every Ellipse.” <i>ArXiv</i>, 2111.12171, doi:<a href="https://doi.org/10.48550/ARXIV.2111.12171">10.48550/ARXIV.2111.12171</a>.
  short: I. Koval, ArXiv (n.d.).
date_created: 2023-09-06T08:35:43Z
date_published: 2021-11-23T00:00:00Z
date_updated: 2023-09-15T06:44:00Z
day: '23'
department:
- _id: GradSch
doi: 10.48550/ARXIV.2111.12171
external_id:
  arxiv:
  - '2111.12171'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2111.12171
month: '11'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Local strong Birkhoff conjecture and local spectral rigidity of almost every
  ellipse
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '14332'
abstract:
- lang: eng
  text: Learning data representations that are useful for various downstream tasks
    is a cornerstone of artificial intelligence. While existing methods are typically
    evaluated on downstream tasks such as classification or generative image quality,
    we propose to assess representations through their usefulness in downstream control
    tasks, such as reaching or pushing objects. By training over 10,000 reinforcement
    learning policies, we extensively evaluate to what extent different representation
    properties affect out-of-distribution (OOD) generalization. Finally, we demonstrate
    zero-shot transfer of these policies from simulation to the real world, without
    any domain randomization or fine-tuning. This paper aims to establish the first
    systematic characterization of the usefulness of learned representations for real-world
    OOD downstream tasks.
article_processing_charge: No
author:
- first_name: Frederik
  full_name: Träuble, Frederik
  last_name: Träuble
- first_name: Andrea
  full_name: Dittadi, Andrea
  last_name: Dittadi
- first_name: Manuel
  full_name: Wuthrich, Manuel
  last_name: Wuthrich
- first_name: Felix
  full_name: Widmaier, Felix
  last_name: Widmaier
- first_name: Peter Vincent
  full_name: Gehler, Peter Vincent
  last_name: Gehler
- first_name: Ole
  full_name: Winther, Ole
  last_name: Winther
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Olivier
  full_name: Bachem, Olivier
  last_name: Bachem
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Stefan
  full_name: Bauer, Stefan
  last_name: Bauer
citation:
  ama: 'Träuble F, Dittadi A, Wuthrich M, et al. Representation learning for out-of-distribution
    generalization in reinforcement learning. In: <i>ICML 2021 Workshop on Unsupervised
    Reinforcement Learning</i>. ; 2021.'
  apa: Träuble, F., Dittadi, A., Wuthrich, M., Widmaier, F., Gehler, P. V., Winther,
    O., … Bauer, S. (2021). Representation learning for out-of-distribution generalization
    in reinforcement learning. In <i>ICML 2021 Workshop on Unsupervised Reinforcement
    Learning</i>. Virtual.
  chicago: Träuble, Frederik, Andrea Dittadi, Manuel Wuthrich, Felix Widmaier, Peter
    Vincent Gehler, Ole Winther, Francesco Locatello, Olivier Bachem, Bernhard Schölkopf,
    and Stefan Bauer. “Representation Learning for Out-of-Distribution Generalization
    in Reinforcement Learning.” In <i>ICML 2021 Workshop on Unsupervised Reinforcement
    Learning</i>, 2021.
  ieee: F. Träuble <i>et al.</i>, “Representation learning for out-of-distribution
    generalization in reinforcement learning,” in <i>ICML 2021 Workshop on Unsupervised
    Reinforcement Learning</i>, Virtual, 2021.
  ista: 'Träuble F, Dittadi A, Wuthrich M, Widmaier F, Gehler PV, Winther O, Locatello
    F, Bachem O, Schölkopf B, Bauer S. 2021. Representation learning for out-of-distribution
    generalization in reinforcement learning. ICML 2021 Workshop on Unsupervised Reinforcement
    Learning. ICML: International Conference on Machine Learning.'
  mla: Träuble, Frederik, et al. “Representation Learning for Out-of-Distribution
    Generalization in Reinforcement Learning.” <i>ICML 2021 Workshop on Unsupervised
    Reinforcement Learning</i>, 2021.
  short: F. Träuble, A. Dittadi, M. Wuthrich, F. Widmaier, P.V. Gehler, O. Winther,
    F. Locatello, O. Bachem, B. Schölkopf, S. Bauer, in:, ICML 2021 Workshop on Unsupervised
    Reinforcement Learning, 2021.
conference:
  end_date: 2021-07-23
  location: Virtual
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2021-07-23
date_created: 2023-09-13T12:43:14Z
date_published: 2021-07-23T00:00:00Z
date_updated: 2023-09-13T12:44:00Z
day: '23'
department:
- _id: FrLo
extern: '1'
language:
- iso: eng
month: '07'
oa_version: None
publication: ICML 2021 Workshop on Unsupervised Reinforcement Learning
publication_status: published
quality_controlled: '1'
status: public
title: Representation learning for out-of-distribution generalization in reinforcement
  learning
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '10000'
abstract:
- lang: eng
  text: Inhibition or targeted deletion of histone deacetylase 3 (HDAC3) is neuroprotective
    in a variety neurodegenerative conditions, including retinal ganglion cells (RGCs)
    after acute optic nerve damage. Consistent with this, induced HDAC3 expression
    in cultured cells shows selective toxicity to neurons. Despite an established
    role for HDAC3 in neuronal pathology, little is known regarding the mechanism
    of this pathology.
acknowledgement: 'The authors thank Joel Dietz for maintaining the mice used in this
  study, Satoshi Kinoshita and the Translational Research Initiative in Pathology
  Laboratory at the University of Wisconsin-Madison for cutting retinal sections analyzed
  in this study, and Mark Banghart for statistical review of the data analysis. Supported
  by National Eye Institute Grants R01 EY012223 (RWN), R01 EY030123 (RWN), R01 EY029809
  (LWG), R01 EY029809 (LWG) and a Vision Research CORE grant P30 EY016665, NRSA grant
  T32 GM081061, by an unrestricted research grant from Research to Prevent Blindness,
  Inc., and by a University of Wisconsin-Madison Vilas Life Cycle award and the Frederick
  A. Davis Research Chair (RWN). '
article_number: '14'
article_processing_charge: Yes
article_type: original
author:
- first_name: Heather M.
  full_name: Schmitt, Heather M.
  last_name: Schmitt
- first_name: Rachel L.
  full_name: Fehrman, Rachel L.
  last_name: Fehrman
- first_name: Margaret E
  full_name: Maes, Margaret E
  id: 3838F452-F248-11E8-B48F-1D18A9856A87
  last_name: Maes
  orcid: 0000-0001-9642-1085
- first_name: Huan
  full_name: Yang, Huan
  last_name: Yang
- first_name: Lian Wang
  full_name: Guo, Lian Wang
  last_name: Guo
- first_name: Cassandra L.
  full_name: Schlamp, Cassandra L.
  last_name: Schlamp
- first_name: Heather R.
  full_name: Pelzel, Heather R.
  last_name: Pelzel
- first_name: Robert W.
  full_name: Nickells, Robert W.
  last_name: Nickells
citation:
  ama: Schmitt HM, Fehrman RL, Maes ME, et al. Increased susceptibility and intrinsic
    apoptotic signaling in neurons by induced HDAC3 expression. <i>Investigative Ophthalmology
    and Visual Science</i>. 2021;62(10). doi:<a href="https://doi.org/10.1167/IOVS.62.10.14">10.1167/IOVS.62.10.14</a>
  apa: Schmitt, H. M., Fehrman, R. L., Maes, M. E., Yang, H., Guo, L. W., Schlamp,
    C. L., … Nickells, R. W. (2021). Increased susceptibility and intrinsic apoptotic
    signaling in neurons by induced HDAC3 expression. <i>Investigative Ophthalmology
    and Visual Science</i>. Association for Research in Vision and Ophthalmology.
    <a href="https://doi.org/10.1167/IOVS.62.10.14">https://doi.org/10.1167/IOVS.62.10.14</a>
  chicago: Schmitt, Heather M., Rachel L. Fehrman, Margaret E Maes, Huan Yang, Lian
    Wang Guo, Cassandra L. Schlamp, Heather R. Pelzel, and Robert W. Nickells. “Increased
    Susceptibility and Intrinsic Apoptotic Signaling in Neurons by Induced HDAC3 Expression.”
    <i>Investigative Ophthalmology and Visual Science</i>. Association for Research
    in Vision and Ophthalmology, 2021. <a href="https://doi.org/10.1167/IOVS.62.10.14">https://doi.org/10.1167/IOVS.62.10.14</a>.
  ieee: H. M. Schmitt <i>et al.</i>, “Increased susceptibility and intrinsic apoptotic
    signaling in neurons by induced HDAC3 expression,” <i>Investigative Ophthalmology
    and Visual Science</i>, vol. 62, no. 10. Association for Research in Vision and
    Ophthalmology, 2021.
  ista: Schmitt HM, Fehrman RL, Maes ME, Yang H, Guo LW, Schlamp CL, Pelzel HR, Nickells
    RW. 2021. Increased susceptibility and intrinsic apoptotic signaling in neurons
    by induced HDAC3 expression. Investigative Ophthalmology and Visual Science. 62(10),
    14.
  mla: Schmitt, Heather M., et al. “Increased Susceptibility and Intrinsic Apoptotic
    Signaling in Neurons by Induced HDAC3 Expression.” <i>Investigative Ophthalmology
    and Visual Science</i>, vol. 62, no. 10, 14, Association for Research in Vision
    and Ophthalmology, 2021, doi:<a href="https://doi.org/10.1167/IOVS.62.10.14">10.1167/IOVS.62.10.14</a>.
  short: H.M. Schmitt, R.L. Fehrman, M.E. Maes, H. Yang, L.W. Guo, C.L. Schlamp, H.R.
    Pelzel, R.W. Nickells, Investigative Ophthalmology and Visual Science 62 (2021).
date_created: 2021-09-12T22:01:23Z
date_published: 2021-08-16T00:00:00Z
date_updated: 2023-08-14T06:35:17Z
day: '16'
ddc:
- '570'
department:
- _id: SaSi
doi: 10.1167/IOVS.62.10.14
external_id:
  isi:
  - '000695230000014'
  pmid:
  - '34398198'
file:
- access_level: open_access
  checksum: c430967746f653aa1ae84ee617f62b73
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-13T07:40:15Z
  date_updated: 2022-05-13T07:40:15Z
  file_id: '11369'
  file_name: 2021_IOVS_Schmitt.pdf
  file_size: 19707796
  relation: main_file
  success: 1
file_date_updated: 2022-05-13T07:40:15Z
has_accepted_license: '1'
intvolume: '        62'
isi: 1
issue: '10'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
pmid: 1
publication: Investigative Ophthalmology and Visual Science
publication_identifier:
  eissn:
  - 1552-5783
  issn:
  - 0146-0404
publication_status: published
publisher: Association for Research in Vision and Ophthalmology
quality_controlled: '1'
scopus_import: '1'
status: public
title: Increased susceptibility and intrinsic apoptotic signaling in neurons by induced
  HDAC3 expression
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 62
year: '2021'
...
---
_id: '10002'
abstract:
- lang: eng
  text: 'We present a faster symbolic algorithm for the following central problem
    in probabilistic verification: Compute the maximal end-component (MEC) decomposition
    of Markov decision processes (MDPs). This problem generalizes the SCC decomposition
    problem of graphs and closed recurrent sets of Markov chains. The model of symbolic
    algorithms is widely used in formal verification and model-checking, where access
    to the input model is restricted to only symbolic operations (e.g., basic set
    operations and computation of one-step neighborhood). For an input MDP with  n  vertices
    and  m  edges, the classical symbolic algorithm from the 1990s for the MEC decomposition
    requires  O(n2)  symbolic operations and  O(1)  symbolic space. The only other
    symbolic algorithm for the MEC decomposition requires  O(nm−−√)  symbolic operations
    and  O(m−−√)  symbolic space. A main open question is whether the worst-case  O(n2)  bound
    for symbolic operations can be beaten. We present a symbolic algorithm that requires  O˜(n1.5)  symbolic
    operations and  O˜(n−−√)  symbolic space. Moreover, the parametrization of our
    algorithm provides a trade-off between symbolic operations and symbolic space:
    for all  0<ϵ≤1/2  the symbolic algorithm requires  O˜(n2−ϵ)  symbolic operations
    and  O˜(nϵ)  symbolic space ( O˜  hides poly-logarithmic factors). Using our techniques
    we present faster algorithms for computing the almost-sure winning regions of  ω
    -regular objectives for MDPs. We consider the canonical parity objectives for  ω
    -regular objectives, and for parity objectives with  d -priorities we present
    an algorithm that computes the almost-sure winning region with  O˜(n2−ϵ)  symbolic
    operations and  O˜(nϵ)  symbolic space, for all  0<ϵ≤1/2 .'
acknowledgement: The authors are grateful to the anonymous referees for their valuable
  comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF)
  through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF)
  NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For
  M. H. the research leading to these results has received funding from the European
  Research Council under the European Unions Seventh Framework Programme (FP/2007–2013)
  / ERC Grant Agreement no. 340506.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Wolfgang
  full_name: Dvorak, Wolfgang
  last_name: Dvorak
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Svozil, Alexander
  last_name: Svozil
citation:
  ama: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. Symbolic time and space tradeoffs
    for probabilistic verification. In: <i>Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science</i>. Institute of Electrical and Electronics
    Engineers; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>'
  apa: 'Chatterjee, K., Dvorak, W., Henzinger, M. H., &#38; Svozil, A. (2021). Symbolic
    time and space tradeoffs for probabilistic verification. In <i>Proceedings of
    the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i> (pp. 1–13).
    Rome, Italy: Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>'
  chicago: Chatterjee, Krishnendu, Wolfgang Dvorak, Monika H Henzinger, and Alexander
    Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    1–13. Institute of Electrical and Electronics Engineers, 2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>.
  ieee: K. Chatterjee, W. Dvorak, M. H. Henzinger, and A. Svozil, “Symbolic time and
    space tradeoffs for probabilistic verification,” in <i>Proceedings of the 36th
    Annual ACM/IEEE Symposium on Logic in Computer Science</i>, Rome, Italy, 2021,
    pp. 1–13.
  ista: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. 2021. Symbolic time and space
    tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science. LICS: Symposium on Logic in Computer Science,
    1–13.'
  mla: Chatterjee, Krishnendu, et al. “Symbolic Time and Space Tradeoffs for Probabilistic
    Verification.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in
    Computer Science</i>, Institute of Electrical and Electronics Engineers, 2021,
    pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>.
  short: K. Chatterjee, W. Dvorak, M.H. Henzinger, A. Svozil, in:, Proceedings of
    the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of
    Electrical and Electronics Engineers, 2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Symposium on Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:24Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2025-07-14T09:10:07Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470739
ec_funded: 1
external_id:
  arxiv:
  - '2104.07466'
  isi:
  - '000947350400089'
isi: 1
keyword:
- Computer science
- Computational modeling
- Markov processes
- Probabilistic logic
- Formal verification
- Game Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07466
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symbolic time and space tradeoffs for probabilistic verification
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10004'
abstract:
- lang: eng
  text: 'Markov chains are the de facto finite-state model for stochastic dynamical
    systems, and Markov decision processes (MDPs) extend Markov chains by incorporating
    non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization
    criterion is the maximal expected total reward where the MDP stops after T steps,
    which can be computed by a simple dynamic programming algorithm. We consider a
    natural generalization of the problem where the stopping times can be chosen according
    to a probability distribution, such that the expected stopping time is T, to optimize
    the expected total reward. Quite surprisingly we establish inter-reducibility
    of the expected stopping-time problem for Markov chains with the Positivity problem
    (which is related to the well-known Skolem problem), for which establishing either
    decidability or undecidability would be a major breakthrough. Given the hardness
    of the exact problem, we consider the approximate version of the problem: we show
    that it can be solved in exponential time for Markov chains and in exponential
    space for MDPs.'
acknowledgement: We are grateful to the anonymous reviewers of LICS 2021 and of a
  previous version of this paper for insightful comments that helped improving the
  presentation. This research was partially supported by the grant ERC CoG 863818
  (ForM-SMArt).
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Stochastic processes with expected stopping time. In:
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>.
    Institute of Electrical and Electronics Engineers; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2021). Stochastic processes with expected
    stopping time. In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i> (pp. 1–13). Rome, Italy: Institute of Electrical and Electronics
    Engineers. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, 1–13. Institute of Electrical and Electronics Engineers,
    2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>.
  ieee: K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,”
    in <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    Rome, Italy, 2021, pp. 1–13.
  ista: 'Chatterjee K, Doyen L. 2021. Stochastic processes with expected stopping
    time. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science.
    LICS: Symposium on Logic in Computer Science, 1–13.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, Institute of Electrical and Electronics Engineers, 2021,
    pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>.
  short: K. Chatterjee, L. Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium
    on Logic in Computer Science, Institute of Electrical and Electronics Engineers,
    2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Symposium on Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:25Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2025-07-14T09:10:08Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470595
ec_funded: 1
external_id:
  arxiv:
  - '2104.07278'
  isi:
  - '000947350400036'
isi: 1
keyword:
- Computer science
- Heuristic algorithms
- Memory management
- Automata
- Markov processes
- Probability distribution
- Complexity theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07278
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stochastic processes with expected stopping time
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10005'
abstract:
- lang: eng
  text: We study systems of nonlinear partial differential equations of parabolic
    type, in which the elliptic operator is replaced by the first-order divergence
    operator acting on a flux function, which is related to the spatial gradient of
    the unknown through an additional implicit equation. This setting, broad enough
    in terms of applications, significantly expands the paradigm of nonlinear parabolic
    problems. Formulating four conditions concerning the form of the implicit equation,
    we first show that these conditions describe a maximal monotone p-coercive graph.
    We then establish the global-in-time and large-data existence of a (weak) solution
    and its uniqueness. To this end, we adopt and significantly generalize Minty’s
    method of monotone mappings. A unified theory, containing several novel tools,
    is developed in a way to be tractable from the point of view of numerical approximations.
acknowledgement: "M. Bulíček and J. Málek acknowledge the support of the project No.
  18-12719S financed by the Czech\r\nScience foundation (GAČR). E. Maringová acknowledges
  support from Charles University Research program \r\nUNCE/SCI/023, the grant SVV-2020-260583
  by the Ministry of Education, Youth and Sports, Czech Republic\r\nand from the Austrian
  Science Fund (FWF), grants P30000, W1245, and F65. M. Bulíček and J. Málek are\r\nmembers
  of the Nečas Center for Mathematical Modelling.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Miroslav
  full_name: Bulíček, Miroslav
  last_name: Bulíček
- first_name: Erika
  full_name: Maringová, Erika
  id: dbabca31-66eb-11eb-963a-fb9c22c880b4
  last_name: Maringová
- first_name: Josef
  full_name: Málek, Josef
  last_name: Málek
citation:
  ama: Bulíček M, Maringová E, Málek J. On nonlinear problems of parabolic type with
    implicit constitutive equations involving flux. <i>Mathematical Models and Methods
    in Applied Sciences</i>. 2021;31(09). doi:<a href="https://doi.org/10.1142/S0218202521500457">10.1142/S0218202521500457</a>
  apa: Bulíček, M., Maringová, E., &#38; Málek, J. (2021). On nonlinear problems of
    parabolic type with implicit constitutive equations involving flux. <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific. <a href="https://doi.org/10.1142/S0218202521500457">https://doi.org/10.1142/S0218202521500457</a>
  chicago: Bulíček, Miroslav, Erika Maringová, and Josef Málek. “On Nonlinear Problems
    of Parabolic Type with Implicit Constitutive Equations Involving Flux.” <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific, 2021. <a href="https://doi.org/10.1142/S0218202521500457">https://doi.org/10.1142/S0218202521500457</a>.
  ieee: M. Bulíček, E. Maringová, and J. Málek, “On nonlinear problems of parabolic
    type with implicit constitutive equations involving flux,” <i>Mathematical Models
    and Methods in Applied Sciences</i>, vol. 31, no. 09. World Scientific, 2021.
  ista: Bulíček M, Maringová E, Málek J. 2021. On nonlinear problems of parabolic
    type with implicit constitutive equations involving flux. Mathematical Models
    and Methods in Applied Sciences. 31(09).
  mla: Bulíček, Miroslav, et al. “On Nonlinear Problems of Parabolic Type with Implicit
    Constitutive Equations Involving Flux.” <i>Mathematical Models and Methods in
    Applied Sciences</i>, vol. 31, no. 09, World Scientific, 2021, doi:<a href="https://doi.org/10.1142/S0218202521500457">10.1142/S0218202521500457</a>.
  short: M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied
    Sciences 31 (2021).
date_created: 2021-09-12T22:01:25Z
date_published: 2021-08-25T00:00:00Z
date_updated: 2023-09-04T11:43:45Z
day: '25'
department:
- _id: JuFi
doi: 10.1142/S0218202521500457
external_id:
  arxiv:
  - '2009.06917'
  isi:
  - '000722222900004'
intvolume: '        31'
isi: 1
issue: '09'
keyword:
- Nonlinear parabolic systems
- implicit constitutive theory
- weak solutions
- existence
- uniqueness
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2009.06917
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
  eissn:
  - 1793-6314
  issn:
  - 0218-2025
publication_status: published
publisher: World Scientific
quality_controlled: '1'
scopus_import: '1'
status: public
title: On nonlinear problems of parabolic type with implicit constitutive equations
  involving flux
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 31
year: '2021'
...
---
_id: '10007'
abstract:
- lang: eng
  text: The present thesis is concerned with the derivation of weak-strong uniqueness
    principles for curvature driven interface evolution problems not satisfying a
    comparison principle. The specific examples being treated are two-phase Navier-Stokes
    flow with surface tension, modeling the evolution of two incompressible, viscous
    and immiscible fluids separated by a sharp interface, and multiphase mean curvature
    flow, which serves as an idealized model for the motion of grain boundaries in
    an annealing polycrystalline material. Our main results - obtained in joint works
    with Julian Fischer, Tim Laux and Theresa M. Simon - state that prior to the formation
    of geometric singularities due to topology changes, the weak solution concept
    of Abels (Interfaces Free Bound. 9, 2007) to two-phase Navier-Stokes flow with
    surface tension and the weak solution concept of Laux and Otto (Calc. Var. Partial
    Differential Equations 55, 2016) to multiphase mean curvature flow (for networks
    in R^2 or double bubbles in R^3) represents the unique solution to these interface
    evolution problems within the class of classical solutions, respectively. To the
    best of the author's knowledge, for interface evolution problems not admitting
    a geometric comparison principle the derivation of a weak-strong uniqueness principle
    represented an open problem, so that the works contained in the present thesis
    constitute the first positive results in this direction. The key ingredient of
    our approach consists of the introduction of a novel concept of relative entropies
    for a class of curvature driven interface evolution problems, for which the associated
    energy contains an interfacial contribution being proportional to the surface
    area of the evolving (network of) interface(s). The interfacial part of the relative
    entropy gives sufficient control on the interface error between a weak and a classical
    solution, and its time evolution can be computed, at least in principle, for any
    energy dissipating weak solution concept. A resulting stability estimate for the
    relative entropy essentially entails the above mentioned weak-strong uniqueness
    principles. The present thesis contains a detailed introduction to our relative
    entropy approach, which in particular highlights potential applications to other
    problems in curvature driven interface evolution not treated in this thesis.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Hensel, Sebastian
  id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
  last_name: Hensel
  orcid: 0000-0001-7252-8072
citation:
  ama: 'Hensel S. Curvature driven interface evolution: Uniqueness properties of weak
    solution concepts. 2021. doi:<a href="https://doi.org/10.15479/at:ista:10007">10.15479/at:ista:10007</a>'
  apa: 'Hensel, S. (2021). <i>Curvature driven interface evolution: Uniqueness properties
    of weak solution concepts</i>. Institute of Science and Technology Austria. <a
    href="https://doi.org/10.15479/at:ista:10007">https://doi.org/10.15479/at:ista:10007</a>'
  chicago: 'Hensel, Sebastian. “Curvature Driven Interface Evolution: Uniqueness Properties
    of Weak Solution Concepts.” Institute of Science and Technology Austria, 2021.
    <a href="https://doi.org/10.15479/at:ista:10007">https://doi.org/10.15479/at:ista:10007</a>.'
  ieee: 'S. Hensel, “Curvature driven interface evolution: Uniqueness properties of
    weak solution concepts,” Institute of Science and Technology Austria, 2021.'
  ista: 'Hensel S. 2021. Curvature driven interface evolution: Uniqueness properties
    of weak solution concepts. Institute of Science and Technology Austria.'
  mla: 'Hensel, Sebastian. <i>Curvature Driven Interface Evolution: Uniqueness Properties
    of Weak Solution Concepts</i>. Institute of Science and Technology Austria, 2021,
    doi:<a href="https://doi.org/10.15479/at:ista:10007">10.15479/at:ista:10007</a>.'
  short: 'S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of
    Weak Solution Concepts, Institute of Science and Technology Austria, 2021.'
date_created: 2021-09-13T11:12:34Z
date_published: 2021-09-14T00:00:00Z
date_updated: 2023-09-07T13:30:45Z
day: '14'
ddc:
- '515'
degree_awarded: PhD
department:
- _id: GradSch
- _id: JuFi
doi: 10.15479/at:ista:10007
ec_funded: 1
file:
- access_level: closed
  checksum: c8475faaf0b680b4971f638f1db16347
  content_type: application/x-zip-compressed
  creator: shensel
  date_created: 2021-09-13T11:03:24Z
  date_updated: 2021-09-15T14:37:30Z
  file_id: '10008'
  file_name: thesis_final_Hensel.zip
  file_size: 15022154
  relation: source_file
- access_level: open_access
  checksum: 1a609937aa5275452822f45f2da17f07
  content_type: application/pdf
  creator: shensel
  date_created: 2021-09-13T14:18:56Z
  date_updated: 2021-09-14T09:52:47Z
  file_id: '10014'
  file_name: thesis_final_Hensel.pdf
  file_size: 6583638
  relation: main_file
file_date_updated: 2021-09-15T14:37:30Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '300'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '10012'
    relation: part_of_dissertation
    status: public
  - id: '10013'
    relation: part_of_dissertation
    status: public
  - id: '7489'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Julian L
  full_name: Fischer, Julian L
  id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
  last_name: Fischer
  orcid: 0000-0002-0479-558X
title: 'Curvature driven interface evolution: Uniqueness properties of weak solution
  concepts'
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2021'
...
---
_id: '10011'
abstract:
- lang: eng
  text: We propose a new weak solution concept for (two-phase) mean curvature flow
    which enjoys both (unconditional) existence and (weak-strong) uniqueness properties.
    These solutions are evolving varifolds, just as in Brakke's formulation, but are
    coupled to the phase volumes by a simple transport equation. First, we show that,
    in the exact same setup as in Ilmanen's proof [J. Differential Geom. 38, 417-461,
    (1993)], any limit point of solutions to the Allen-Cahn equation is a varifold
    solution in our sense. Second, we prove that any calibrated flow in the sense
    of Fischer et al. [arXiv:2003.05478] - and hence any classical solution to mean
    curvature flow - is unique in the class of our new varifold solutions. This is
    in sharp contrast to the case of Brakke flows, which a priori may disappear at
    any given time and are therefore fatally non-unique. Finally, we propose an extension
    of the solution concept to the multi-phase case which is at least guaranteed to
    satisfy a weak-strong uniqueness principle.
acknowledgement: This project has received funding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (grant agreement No 948819), and from the Deutsche Forschungsgemeinschaft (DFG,
  German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813.
  The content of this paper was developed and parts of it were written during a visit
  of the first author to the Hausdorff Center of Mathematics (HCM), University of
  Bonn. The hospitality and the support of HCM are gratefully acknowledged.
article_number: '2109.04233'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sebastian
  full_name: Hensel, Sebastian
  id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
  last_name: Hensel
  orcid: 0000-0001-7252-8072
- first_name: Tim
  full_name: Laux, Tim
  last_name: Laux
citation:
  ama: 'Hensel S, Laux T. A new varifold solution concept for mean curvature flow:
    Convergence of  the Allen-Cahn equation and weak-strong uniqueness. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.2109.04233">10.48550/arXiv.2109.04233</a>'
  apa: 'Hensel, S., &#38; Laux, T. (n.d.). A new varifold solution concept for mean
    curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2109.04233">https://doi.org/10.48550/arXiv.2109.04233</a>'
  chicago: 'Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for
    Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.”
    <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2109.04233">https://doi.org/10.48550/arXiv.2109.04233</a>.'
  ieee: 'S. Hensel and T. Laux, “A new varifold solution concept for mean curvature
    flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness,” <i>arXiv</i>.
    .'
  ista: 'Hensel S, Laux T. A new varifold solution concept for mean curvature flow:
    Convergence of  the Allen-Cahn equation and weak-strong uniqueness. arXiv, 2109.04233.'
  mla: 'Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean
    Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.”
    <i>ArXiv</i>, 2109.04233, doi:<a href="https://doi.org/10.48550/arXiv.2109.04233">10.48550/arXiv.2109.04233</a>.'
  short: S. Hensel, T. Laux, ArXiv (n.d.).
date_created: 2021-09-13T12:17:10Z
date_published: 2021-09-09T00:00:00Z
date_updated: 2023-05-03T10:34:38Z
day: '09'
department:
- _id: JuFi
doi: 10.48550/arXiv.2109.04233
ec_funded: 1
external_id:
  arxiv:
  - '2109.04233'
keyword:
- Mean curvature flow
- gradient flows
- varifolds
- weak solutions
- weak-strong uniqueness
- calibrated geometry
- gradient-flow calibrations
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2109.04233
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication: arXiv
publication_status: submitted
status: public
title: 'A new varifold solution concept for mean curvature flow: Convergence of  the
  Allen-Cahn equation and weak-strong uniqueness'
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
